SECTIONAL PROPERTIES CALCULATOR  T BEAM (TEE SECTION)
T beam, also known as Tee Section or T bar is a structural beam with a t shaped cross section.
The materials of Tee sections are generally mild steel, aluminum and stainless steel. Manufacturing methods of T beams are hot rolling, extrusion and plate welding. T bars are often used for general fabrication.
The following calculator has been developed to calculate the sectional properties of structural T sections (beams).
Calculator:
OUTPUT PARAMETERS 
Parameter 
Symbol 
Value 
Unit 
Cross section area 
A 



Mass 
M 



Second moment of area 
I_{xx} 



Second moment of area 
I_{yy} 


Minimum section modulus 
S_{xx} 



Section modulus 
S_{yy} 


Radius of gyration 
r_{x} 



Radius of gyration 
r_{y} 


CoG distance in x direction 
x_{cog} 



CoG distance in y direction 
y_{cog} 


Note: Use dot "." as decimal separator.
Definitions:
Second Moment of Area: The
capacity of a crosssection to resist bending.
Radius of Gyration (Area): The
distance from an axis at which the area of a body may be assumed to be
concentrated and the second moment area of this configuration equal to the
second moment area of the actual body about the same axis.
Section Modulus: The moment of
inertia of the area of the cross section of a structural member divided by the
distance from the center of gravity to the farthest point of the section; a
measure of the flexural strength of the beam.
List of Equations:
T SECTION (TBEAM) 

Step 
Parameter/Condition 
Symbol 
Equation 
1 
Cross section area 
A 
A = Bh + Hb 
2 
Area moment of inertia 
I_{xx} 
I_{xx} = bH(y_{cog}H/2)^{2 }+ bH^{3}/12 + hB(H + h/2  y_{cog})^{2 }+ h^{3}B/12 
3 
Area moment of inertia 
I_{yy} 
I_{yy} = b^{3}H/12 + B^{3}h/12 
4 
Minimum section modulus 
S_{xx} 
S_{xx} = I_{xx}/y_{cog} 
5 
Section modulus 
S_{yy} 
S_{yy} = I_{yy}/x_{cog} 
6 
Center of gravity 
x_{cog} 
x_{cog }= B/2 
7 
Center of gravity 
y_{cog} 
y_{cog}= [(H+h/2)hB+H^{2}b/2]/A 
8 
Mass 
M 
M = ALρ 
9 
Radius of gyration 
r 
r = (I/A)^0.5 
10 
Polar moment of inertia 
J 
J = I_{xx} + I_{yy} 
Reference:

Oberg, E., Jones, F. D., Horton, H. L., & Ryffel, H. H. (2012) .
Machinery's Handbook
. 29th edition. Industrial Press Inc., pp 234  256